Lectures in Projective Geometry (Repost)
A. Seidenberg, Mathematics, "Lectures in Projective Geometry"
2006 | pages: 240 | ISBN: 0486446182 | DJVU | 3,3 mb
2006 | pages: 240 | ISBN: 0486446182 | DJVU | 3,3 mb
An ideal text for undergraduate courses in projective geometry, this volume begins on familiar ground. It starts by employing the leading methods of projective geometry as an extension of high school-level studies of geometry and algebra, and proceeds to more advanced topics with an axiomatic approach.
An introductory chapter leads to discussions of projective geometry's axiomatic foundations: establishing coordinates in a plane; relations between the basic theorems; higher-dimensional space; and conics. Additional topics include coordinate systems and linear transformations; an abstract consideration of coordinate systems; an analytical treatment of conic sections; coordinates on a conic; pairs of conics; quadric surfaces; and the Jordan canonical form. Numerous figures illuminate the text.
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